A rectangular. Garden bed measures 8 x 6 feet a water faucet is at one corner of the bed hose must be long enough to reach opposite corner when stretched straight. Find required length of hose

Answer:

The Area of the trapezium is \(60cm^2\)

Step-by-step explanation:

Given,

Height (h)= 8cm

Sum of the parallel sides (a+b)= 15cm

Area of trapezium = \(1/2*h*(a+b)\)

                              =\(1/2*8*15\)

                              =\(4*15\)

Area of trapezium=60cm^2

Answer: Area = 60 cm²

Step-by-step explanation:

To find the area of a trapezium we use the formula

Area of trapezium = 1/2 (sum of parallel sides) × height

∴ Area = 1/2 ×15 cm × 8 cm

           = 60 cm²

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The insurance company would pay a total of $101,000 for the medical expenses resulting from the accident.

In this scenario, Sally's car insurance policy has coverage limits of 100/300/50. These numbers represent the maximum amount the insurance company will pay for different types of damages in an accident. Let's break down what these numbers mean in the context of the collision.

The first number, 100, represents the maximum amount (in thousands of dollars) that Sally's insurance company will pay for bodily injury per person. Since Sally sustained $150,000 in injuries and her passenger sustained $1,000 in injuries, the insurance company will cover Sally's medical expenses up to the policy limit, which is $100,000.

The second number, 300, represents the maximum amount (in thousands of dollars) the insurance company will pay for bodily injury per accident. In this case, both Sally and her passenger were injured, so the insurance company will cover their combined medical expenses up to the policy limit, which is $300,000.

The third number, 50, represents the maximum amount (in thousands of dollars) the insurance company will pay for property damage per accident. However, since the question only mentions injuries and not property damage, we can disregard this number for now.

Therefore, the total medical expenses the insurance company would pay for this accident would be $100,000 for Sally's injuries and $1,000 for her passenger's injuries, totaling $101,000.

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When the 2 graphs are the same. It'll be infinitely many solutions.

System Equations are to find the intercepts of graphs so just think that when 2 graphs are same, that means they both intercept each others infinitely.

So the answer is clearly C.

Answer:

Step-by-step explanation:

In the given figure as we know that the sum of 3 angles of a triangle is 180degree. and as we know that

75+70+a=180

so, a= 35

so if a=35

then, 70+a=105

now  as we know that a+95+b=180

so, a=35

35+90+b=180

b=180-125

b=55

and if a=35 ,b=55  so , a+b+d=180

here, 35+55+d=180

d=90

now the value of c=180-(70+d)

c=180-70-90

now the value of c=20

so the value of a=35

b=55

c=20

d=90

Answer:

a = 35°

b = 50°

c = 85°

d = 25°

Step-by-step explanation:

We know that angles in a straight line are added up to 180°.

Accordingly,

Subtract 95 from both sides.

        c = 180 - 95

        c = 85°

Combine like terms.

       a + 145 = 180

Subtract 145 from both sides.

        a = 180 - 145

       a = 35°

Also, we know that the sum of the interior angles in a triangle is added up to 180°.

Accordingly,

Replace c with 85.

        85 + d + 70 = 180

Combine like terms.

        155 + d = 180

Subtract from both sides.

         d = 180 - 155

         d = 25°

Replace a with 35.

         35 + b + 95 = 180

Combine like terms.

        130 + b = 180

Subtract 130 from both sides.

         b = 180 - 130

         b = 50°

Answer:

3ft

Step-by-step explanation:

get the ratio of longest side which is 5over9 is equal to 15 what about 1 over 9 then u equate n get 3

Answer:

≈ 5.2 ft

Step-by-step explanation:

sum the parts of the ratio, 3 + 1 + 5 = 9 parts

Divide the angle sum of a triangle by 9 to find the value of one part of the ratio.

180° ÷ 9 = 20° ← value of 1 part of the ratio, then

3 parts = 3 × 20° = 60°

5 parts = 5 × 20° = 100°

The angles of the triangle are 100°, 60° and 20°

The longest side is opposite the largest angle in the triangle

The shortest side is opposite the smallest angle in the triangle.

Thus

the longest side is opposite 100°

the shortest side is opposite 20°

let x represent the shortest side and using the Sine rule

\(\frac{x}{sin20}\) = \(\frac{15}{sin100}\) ( cross- multiply )

x × sin100° = 15sin20° ( divide both sides by sin100° )

x = \(\frac{15sin20}{sin100}\) ≈ 5.2 ( to the nearest tenth )

Thus the shortest side is ≈ 5.2 ft

Answer:

c

Step-by-step explanation:

cause -14w-3-(5w)

-14w-5w-3

-19w-3

Answer:

Step-by-step explanation:

Given the function 2x³ + 5x² + 4x + 8. In order to evaluate the value of the function at x = -2 we will substitute the value of x given into the function as shown;

F(x) = 2x³ + 5x² + 4x + 8

at x = -2

f(-2) = 2(-2)³ + 5(-2)² + 4(-2) + 8

f(-2) = 2(-8) + 5(4) +(-8) + 8

f(-2) = -16+20-8+8

f(-2) = -16+20

f(-2) = 4

The value of the function when x = -2 is 4

Answer:

Step-by-step explanation:

(a). ( f + g )( x )

( x³ - \(\frac{1}{2}\) x² + x ) + ( x² - \(\frac{1}{4}\) x - 4 ) =

x³ + ( - \(\frac{1}{2}\) + 1 ) x² + ( 1 - \(\frac{1}{4}\) ) x - 4 =

x³ + \(\frac{1}{2}\) x² + \(\frac{3}{4}\) x - 4

(b). ( f - g )( x )

( x³ - \(\frac{1}{2}\) x² + x ) - ( x² - \(\frac{1}{4}\) x - 4 ) =

x³ - \(\frac{1}{2}\) x² + x - x² + \(\frac{1}{4}\) x + 4 =

x³ + ( - \(\frac{1}{2}\) - 1 ) x² + ( 1 + \(\frac{1}{4}\) ) x + 4 =

x³ - \(\frac{3}{2}\) x² + \(\frac{5}{4}\) x + 4

(c). ( f + g )( 2 )

2³ + \(\frac{1}{2}\) ( 2 )² + \(\frac{3}{4}\) ( 2 ) - 4 = 8 + 2 + \(\frac{3}{2}\) - 4 = \(7\frac{1}{2}\)

(d). ( f - g )( - 3 )

( - 3 )³ - \(\frac{3}{2}\) ( - 3 )² + \(\frac{5}{4}\) ( - 3 ) + 4 = - 27 - \(\frac{27}{2}\) - \(\frac{15}{4}\) + 4 = - 23 - \(\frac{69}{4}\) = - \(40\frac{1}{4}\)

Answer:79

Step-by-step explanation:

Answer:

(2,-2)

Step-by-step explanation:

The answer is the intercept point of both lines, so we need to find the point when both the line touches, with out graphing we can see by the table that point (2, -2) intercepts with the line on the graph.

hope this helps :)

Answer:

--------------------------

From the table we see each y-coordinate is the negative of the corresponding x-coordinate. It gives us the second line:

The first line is given y = 1/2x - 3, equate both to get:

Then the value of y:

The solution is (2, - 2).

Answer:

4/15

Step-by-step explanation:

2/5 drive

1/3 bus

and rest walk

fraction of those who walk is 1-(2/5+1/3)

2/5+1/3=(6+5)/15=11/15

15/15-11/15=4/15

Answer:

7 and 8

Step-by-step explanation:

29÷4=7.25 and that is between 7 and 8

Answer:

33.33%

Step-by-step explanation:

Divide the part (32 lbs) from the total (96 lbs):

32/96 = ~0.3333 (rounded to the nearest ten thousandths).

To change the decimal to percentage, simply move the decimal point to the right two place values and add a percentage sign:

0.3333 = 33.33%

33.33% is your answer.

~

Answer:

Step-by-step explanation:

Answer:

0,2

1,-1

2,-4

Step-by-step explanation:

Answer:

the answer should be 200

The area of the composite figure is 378.5 square feets.

We can decompose this into a rectangle of 30ft by 10ft and a circle whose diameter is 10ft.

Remember that the area of a rectangle of width W and length L is given by:

A = L*W

So the area of this rectangle is:

A = 30ft*10ft = 300ft²

And the area of a circle whose diameter D is:

A = 3.14*(D/2)²

So in this case the area of the circle is:

A = 3.14*(10ft/2)²

A = 3.14*(5ft)² = 78.5 ft²

Then the total area of the composite figure is:

area = 300ft² + 78.5 ft²

area = 378.5 ft²

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The image point of the coordinate X after the rotation is (-1, 5).

When a point is rotated 90° clockwise around the origin, the new point will be formed by switching the x and y-coordinates and then negating the new x-coordinate.

So for point X (-5, -1), the new x-coordinate will be -1, and the new y-coordinate will be -(-5) = 5, giving the new point (-1, 5).

Therefore, after a rotation of 90° clockwise, point X (-5, -1) will be at the new location (-1, 5).

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Answer:

264

Step-by-step explanation:

well you could have just used a calculator!

Answer:

Step-by-step explanation:

es 264   como estas

If the radius of the circle is 5 m and angle subtended by arc LKM is 70° then the length of the arc LNM is 25.29 m.

Given that the radius of the circle is 5 m and angle subtended by arc LKM is 70°.

From the figure given we can estimate that the length of arc LNM can be circumference of circle subtracted by length of arc LKM.

Circulference of the circle is basically the length of whole arc of the circle. It is also know as perimeter of the circle. The formula of calculating circumference of a circle is 2πr in which r is the radius.

So,

length of arc LNM=Circumference of circle-length of arc LKM.

We know that length of an arc =Θr

in which Θ is the angle in radian.

length of arc=70*π\(/180*5\)

=70π\(/36\)

Circumference of circle=2π*5

=10π

Length of arc LNM=10π-70π\(/36\)

=(360π-70π)\(/36\)

=290π\(/36\)

Put π=3.14

=290*3.14\(/36\)

=910.6\(/36\)

=25.29m

Hence the length of arc LNM is 25.29 m.

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For 4 rides the total charge be the same at both places

Two or more expressions with an Equal sign is called as Equation.

Funtime Carnival charges a $3.00 entrance fee and $1.00 per ride

Crazy Carnival charges a $5.00 entrance fee and $0.50 per ride.

We need to find for how many rides will the total charge be the same at both places and the cost.

For carnival the equation will be 3+1x

Crazy Carnival equation will be 5+0.5x

Now equation both the equations

3+x=5+0.5x

Subtract 0.5x on both sides

3+x-0.5x=5

3+0.5x=5

0.5x=2

x=2/0.5=4

Hence, For 4 rides  the total charge be the same at both places

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\(4(7 +y) -(y -13)\)

Answer:4(7+y)-(y-13)

Step-by-step explanation:

The quotient of the expression or polynomial is given as

-2 x+4

Generally, Set up the polynomials to be divided. If there is not a term for every exponent, insert one with a value of 0 .

\($$2 x + 3 |{ - 4 x ^ { 2 } + 2 x - 1 }$$\)

Divide the highest order term in the dividend $-4 x^2$ by the highest order term in divisor $2 x$

Multiply the new quotient term by the divisor.

\($$\begin{aligned}& -4 x^2-6 x \\&\end{aligned}$$\)

The expression needs to be subtracted from the dividend, so change all the signs in

\($$\begin{gathered}-4 x^2-6 x \\-2 x \\2 x + 3 | { 4 x ^ { 2 } + 2 x - 1 } \\+4 x^2+6 x\end{gathered}$$\)

After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.

\($$\begin{aligned}& \frac{+4 x^2+6 x}{+8 x} \\&\end{aligned}$$\)

solving further

Multiply the new quotient term by the divisor.

\($$\begin{aligned}& \frac{+4 x^2+6 x}{+8 x-1} \\& +8 x+12 \\&\end{aligned}$$\)

The expression needs to be subtracted from the dividend, so change all the signs in

\($$\begin{gathered}8 x+12 \\2 x+3-4 x+4 \\\frac{+4 x^2+2 x-1}{+6 x} \\+8 x-1 \\-8 x-12\end{gathered}$$\)

After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.

\($$\begin{gathered}-2 x+4 \\2 x + 3 | { - 4 x ^ { 2 } + 2 x - 1 } \\\frac{+4 x^2+6 x}{+8 x-1} \\\frac{-8 x-12}{-13}\end{gathered}$$\)

The quotient is -2 x+4

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Answer:c

Step-by-step explanation:

c

Answer: the answer is A

Step-by-step explanation:

The solution to the long division 6x³ - 8x + 5 divided by (2x-4) is 3x² - 6x + 8 and the remainder is -27

When 6x³ - 8x + 5 is divided by (2x-4) the answer in this format

q(x) + r(x) / b(x) is express as 3x² - 6x + 8

The long division application is uploaded as a picture below.

The answer should be express in this format:

q(x) + r(x) / b(x)

where,

The quotient is the result obtained by dividing one value by another. The quotient is 3x² - 6x + 8 .

The remainder is the number left over after performing the division. The remainder is -27

The divisor is the value that divides another completely or with a remainder. The divisor is 2x - 4

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Answer:

770,000?

Step-by-step explanation:

your just rounding

Answer:

766,000

Step-by-step explanation:

Brainliest pleeease

Answer:

3 8 person tables. 11 5 person tables.

Step-by-step explanation: